Suppose that one of water at its boiling point is kept in a cylinder that has frictionless piston. For equilibrium to be established, a pressure is maintained above the piston. If the piston sweeps out a volume of 0 dm3. Calculate the work done by the system for the following paths:Free expansionReversible expansion against constant pressure of 4.0 atmIsothermal reversible expansion with initial volume = 0.80 dm3. When 2.0 mol of CO2 is heated at a constant pressure of 1.25 atm, its temperature increases from 280.00 K to 307.00 K. The heat (q) absorbed during this process is determined to be 2.0 kJ. Calculate(a) ΔH for this process(b) The molar heat capacity of CO2 at constant pressure (CP,m) (Hint: you can assume that CP,m is constant over this temperature range and that the CO2behaves ideally). (c) ΔU. Heat capacity of a material is temperature dependent. The T-dependence of the molar heat capacities of water (H2O(l)), H2(g) and O2(g) can be represented using an expression of the form CP,m = d + eT + fT–2 ;where the values of d, e and f are given in Table 2.1.Calculate the standard enthalpy of formation (ΔHfº) of H2O(l) at 350.0 K using the information given above and the value of ΔHfº at 298 K.

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Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Suppose that one of water at its boiling point is kept in a cylinder that has frictionless piston. For equilibrium to be established, a pressure is maintained above the piston. If the piston sweeps out a volume of 0 dm³. Calculate the work done by the system for the following paths:
Free expansion
Reversible expansion against constant pressure of 4.0 atm
Isothermal reversible expansion with initial volume = 0.80 dm³.

When 2.0 mol of CO₂ is heated at a constant pressure of 1.25 atm, its temperature increases from 280.00 K to 307.00 K. The heat (q) absorbed during this process is determined to be 2.0 kJ. Calculate

(a) ΔH for this process

(b) The molar heat capacity of CO₂ at constant pressure (C_P,m)

(Hint: you can assume that C_P,mis constant over this temperature range and that the CO₂behaves ideally).

Heat capacity of a material is temperature dependent. The T-dependence of the molar heat capacities of water (H₂O(l)), H₂(g) and O₂(g) can be represented using an expression of the form

C_P,m= d + eT + fT^–2 ;

where the values of d, e and f are given in Table 2.1.

Calculate the standard enthalpy of formation (ΔH_fº) of H₂O(l) at 350.0 K using the information given above and the value of ΔH_fº at 298 K.

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